Abstract：How to place a round sphere minimally into high dimensional spaces? In 1967, E. Calabi solved this problem for S^n. If the ambient space is the complex projective space CP^n, Bolton-Jensen-Rigoli-Woodward proved that they must be Veronese spheres. In this talk, we discuss an analogous question for the hyperquadric, a subset defined by $z_0^2+z_1^2+...z_n^2=0 $ in CP^n. Against intuition, abundant examples exist. This is a joint work with Professor Q.S. Chi and Z.X. Xie.